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/Exercise 15.3The adjacent angles of a parallelogram are in the ratio 2.1. Findthe measures of all the angles.

Answer»

Let the angle be x and 2x

x + 2x = 180

3x = 180

x = 60

all the angles are 60° , 120° , 60° , 120°

Given, Ratio of two adjacent angles of a parallelogram=2:1

let the two adjacent angles be 2x and 3x

we know that sum of two adjacent angles=180°

therefore,2x+3x=180° 5x=180° x=180÷5 x=36°the angles=2×36,1×36 = 74, 36we know that the opposite angles of a parallelogram are equaltherefore, the opposite two angles=74 ,36



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